ACT® Math

Break-Even Point

ACTMAT-YCVJX9

Each time the local swim club hosts an invitational at their pool, they hire a taco vendor and sell tacos to raise money for the club (the vendor charges the club for each taco sold, and the club sells the tacos at a higher price). The graph below represents the graphs of the revenue earned from sales of the tacos, $R(x)$, and the costs associated with the vendor and making the tacos, $C(x)$:

How many tacos need to be sold in order for the swim club to break even (i.e., the club neither made nor lost money in having the vendor at their event)?